Baby Sussex was wrapped in a £105 ($136) shawl made by UK company GH Hurt & Son during his first appearance in front of the media, according to Britain's Press Association. The news agency says it's the same company that the Duke and Duchess of Cambridge used for their children.

Meanwhile, Meghan was wearing a white dress by British designer Grace Wales Bonner. The Duchess of Sussex has been praised on social media for "not trying to hide" her postpartum bump.

10:26 a.m. ET, May 8, 2019

What surname will the baby have?

Those entitled to be called His or Her Royal Highness don't, traditionally, have a surname.

When William and Harry were at school and during their later military careers, they used "Wales" -- derived from their father's official title as Prince of Wales.

But as for Meghan and Harry, their child will likely use Sussex -- their assigned dukedom -- as a surname, just as William and Catherine's children use Cambridge at school.

The Duchess of Sussex gave birth at 05:26 on Monday 06 May, 2019.

Dominic Lipinski - WPA Pool/Getty Images

10:04 a.m. ET, May 8, 2019

What will Meghan and Harry name Baby Sussex?

From CNN's Lauren Said-Moorhouse

Now that we've met Baby Sussex, the world is eagerly wanting to know the name of the Duke and Duchess of Sussex's son.

We can also count on Baby Sussex being given a fair few names. Queen Elizabeth II bestowed four names on each of her four children. The full name of her eldest son and heir is Charles Philip Arthur George.

Meanwhile Prince Harry's full name is Henry Charles Albert David. Harry's brother William, the Duke of Cambridge, has continued the tradition of multiple names with all three of his children.

9:39 a.m. ET, May 8, 2019

The Duke and Duchess of Sussex share more pictures on their official Instagram page

"Today The Duke and Duchess of Sussex are delighted to share their first public moment as a family," the caption read on their Instagram page, @SussexRoyal.

"They are so incredibly grateful for the warm wishes and support they've received from everyone around the world, since welcoming their son two days ago."

Scroll through the pictures below:

8:56 a.m. ET, May 8, 2019

Meghan and Harry have chosen a name

From CNN's royal correspondent Max Foster

Meghan and Harry's meeting with Queen Elizabeth II could be happening right now, which means we may have an announcement on Baby Sussex's name a little later on.

CNN's royal correspondent Max Foster said the reason we might not know the name yet is because the couple wanted to put it past the Queen first -- not because she can refuse it, but out of politeness.

"Most people don't have a grandmother like the Queen, they wanted to put it past her first so then we'll have the announcement a little later on," Foster said.

"I can tell you they've decided on the name at least. There was some debate about whether or not they'd committed yet."

Britain's Prince Harry and Meghan, Duchess of Sussex, during a photocall with their newborn son, in St George's Hall at Windsor Castle, Windsor.